一维不均匀介质中波传播瞬态响应的传输线模型分析

Transient Analysis of Propagation in Non-uniform One Dimensional Media by Transmission Line Method

提出了用传输线模型分析一维不均匀介质中波传播的瞬态响应。这种方法将一维不均匀介质用多层介质近似 ,并进一步用级联的传输线模型等效。分析的过程是 :首先对局限在某一时间段内的输入电磁信号进行傅里叶变换得出其频谱 ,然后研究该频谱的主要分量在所研究介质中的传播 ,并得出波传播方向任一截面上瞬态信号的频谱 ,最后通过快速傅里叶变换得出时域瞬态响应。这种方法适用范围广 ,数值计算方便 ,只要离散时间间隔足够小 ,抽样点数足够大 。

The transient analysis of propagation in non uniform one dimensional media by transmission line method is proposed. In this method, the non uniform media is approximated by multi layer dielectric media and modeled as a cascaded transmission line. The analytical procedure is as follows: the incident transient electromagnetic signal is first transformed into the frequency domain, then the propagation of the main components in the spectra is analyzed by transmission line method, finally FFT algorithm is used to find the response in time domain of the multi layer structure. The calculation is easy and the high accuracy can be achieved by this method as long as the time interval is small and the number of sample is large enough.